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Simplifying (c + -4)(c + -4) = 0 Reorder the terms: (-4 + c)(c + -4) = 0 Reorder the terms: (-4 + c)(-4 + c) = 0 Multiply (-4 + c) * (-4 + c) (-4(-4 + c) + c(-4 + c)) = 0 ((-4 * -4 + c * -4) + c(-4 + c)) = 0 ((16 + -4c) + c(-4 + c)) = 0 (16 + -4c + (-4 * c + c * c)) = 0 (16 + -4c + (-4c + c2)) = 0 Combine like terms: -4c + -4c = -8c (16 + -8c + c2) = 0 Solving 16 + -8c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (4 + -1c)(4 + -1c) = 0Subproblem 1
Set the factor '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4Subproblem 2
Set the factor '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4Solution
c = {4, 4}
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